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On a coordinate plane, a graph has number of hours on the x-axis and number of haircuts on the y-axis. A line goes through points (2, 1), (4, 2), and (6, 3).
The graph represents the number of haircuts, y, a hair stylist can give over time, x. Use the graph to find the constant of proportionality and write an equation.

The constant of proportionality is .
The equation that represents the number of haircuts the stylist can give in an hour is .

Respuesta :

The proportionality constant is 1/2 (0.5) and the equation of the line will be given as y = 0.5x.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

On a coordinate plane, a graph has a number of hours on the x-axis and a number of haircuts on the y-axis. A line goes through points (2, 1), (4, 2), and (6, 3).

We know that the equation of the line passing through the two-point is given as

[tex]\rm (y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Then we have

[tex]\rm y-1 = \dfrac{2-1}{4-2} \times (x-2)\\\\y = \dfrac{1}{2}\ x - 1+1 \\\\y = \dfrac{1}{2}\ x[/tex]

The proportionality constant is 1/2 (0.5) and the equation of the line will be given as y = 0.5x.

More about the linear system link is given below.

https://brainly.com/question/20379472

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